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Finding the Third Proportional to 48,522 and 73,659

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Solution

The third proportional to 48,522 and 73,659 is: 111,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,522 : 73,659 = 73,659 : x
  2. Step 2: Convert to fraction form
    48,522/73,659 = 73,659/x
  3. Step 3: Cross multiply
    48,522x = 73,659 × 73,659
  4. Step 4: Simplify right side
    48,522x = 5,425,648,281
  5. Step 5: Solve for x
    x = 5,425,648,281/48,522
  6. Step 6: Final answer
    x = 111,818.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.